Question

Найдите область определения функции $y = \sqrt{x+7}- \frac{12}{ \sqrt{5-x} }$

Answer 1

1) x + 7 ≥ 0     ⇒    x ≥ - 7

2) 5 - x > 0   ⇒  - x > - 5      ⇒    x < 5
                /////////////////////////////////////////////////
____________________₀_____________
             - 7                       5
\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\
Область определения - все значения x ∈ [- 7 ; 5)